Full Text:   <3050>

CLC number: O153.3

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 0000-00-00

Cited: 1

Clicked: 5836

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
Open peer comments

Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.2 P.210-215

http://doi.org/10.1631/jzus.2006.A0210


On closed weak supplemented modules


Author(s):  Zeng Qing-yi, Shi Mei-hua

Affiliation(s):  Department of Mathematics, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   zqy67@163.com

Key Words:  Closed submodules, Closed weak supplemented, Small submodule



Abstract: 
A module M is called closed weak supplemented if for any closed submodule N of M, there is a submodule K of M such that M=K+N and KN<<M. Any direct summand of closed weak supplemented module is also closed weak supplemented. Any nonsingular image of closed weak supplemented module is closed weak supplemented. Nonsingular V-rings in which all nonsingular modules are closed weak supplemented are characterized in Section 4.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2025 Journal of Zhejiang University-SCIENCE